Quasisymmetrically minimal uniform Cantor sets

DOI10.1016/j.topol.2007.10.006zbMath1144.54023OpenAlexW1967813586MaRDI QIDQ2474461

Meidan Hu, Sheng You Wen

Publication date: 6 March 2008

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2007.10.006

zbMATH Keywords

Quasisymmetric mapQuasisymmetrically minimal setUniform Cantor set

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Hausdorff and packing measures (28A78)

Related Items (8)

Some geometric properties of sets defined by digit restrictions ⋮ Quasisymmetric equivalence of self-similar sets ⋮ Quasisymmetrically thick generalized-Cantor sets in \(\mathbb R\) ⋮ On the equivalence of weak quasisymmetry and quasisymmetry on non-connected sets ⋮ On quasisymmetric minimality of Cantor sets ⋮ Quasisymmetric minimality on packing dimension for Moran sets ⋮ Fatness and thinness of uniform Cantor sets for doubling measures ⋮ ON QUASISYMMETRIC MINIMALITY OF HOMOGENEOUS PERFECT SETS

Cites Work

• The net measure properties of symmetric Cantor sets and their applications
• Conformal dimension does not assume values between zero and one
• Lectures on \(n\)-dimensional quasiconformal mappings
• Hausdorff dimension and quasisymmetric mappings.
• Sets of minimal Hausdorff dimension for quasiconformal maps
• Hausdorff Dimension and Quasiconformal Mappings
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